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Finding the Fourth Proportional to 942.48, 1,413.87 and 877.26

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Solution

The fourth proportional to 942.48, 1,413.87 and 877.26 is: 1,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.48 : 1,413.87 = 877.26 : x
  2. Step 2: Convert to fraction form
    942.48/1,413.87 = 877.26/x
  3. Step 3: Cross multiply
    942.48x = 1,413.87 × 877.26
  4. Step 4: Simplify right side
    942.48x = 1,240,331.60
  5. Step 5: Solve for x
    x = 1,240,331.60/942.48
  6. Step 6: Final answer
    x = 1,316.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.